The present invention aims to provide a method for producing a polyalkylene oxide, which is capable of improving reduction in reactivity of a double metal cyanide complex catalyst in the case that a low molecular weight initiator is used, and producing the polyalkylene oxide with high productivity at low cost. The method for producing a polyalkylene oxide comprises carrying out a ring-opening addition reaction of an alkylene oxide with an initiator having at least one hydroxy group and having a molecular weight of not more than 300 per hydroxy group in the presence of a double metal cyanide complex catalyst in an organic solvent, wherein the organic solvent is used in an amount of 500 to 1,500 parts by weight relative to 100 parts by weight of the alkylene oxide used at the start of the reaction.